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Finding the Third Proportional to 168,987.75 and 361,963.50

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Solution

The third proportional to 168,987.75 and 361,963.50 is: 775,308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,987.75 : 361,963.50 = 361,963.50 : x
  2. Step 2: Convert to fraction form
    168,987.75/361,963.50 = 361,963.50/x
  3. Step 3: Cross multiply
    168,987.75x = 361,963.50 × 361,963.50
  4. Step 4: Simplify right side
    168,987.75x = 131,017,575,332.25
  5. Step 5: Solve for x
    x = 131,017,575,332.25/168,987.75
  6. Step 6: Final answer
    x = 775,308.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.